OK those appear to be more gouges than scratches so scratch removal compound or buffing won't help, nor will DrColorChip. I would suggest a bumper repair shop for an estimate. Just a possibility but it appears that you may have scraped something like the edge of your garage or a low wall when turning. You have low miles on your Stingray and may not yet be fully accustomed to where the sides of your car are. If that is the case, perhaps some practice with empty cardboard boxes to get more comfortable with where exactly your car's edges are is a simple solution for future prevention.
That stinks, nico! Might have been an accident or the wind. If someone pushed something into your car on purpose, well, there are definitely jealous folks are out there. Only fix for that is for all Corvette owners to be humble and courteous. Even that is only a partial fix.
C7STGRA, welcome aboard. That is a gouge, or was it damaged during transport? Check with a few body shops on their recommendation to repair. Hope you get your C7 back to 120% and get back to wheeling it around CA.
It's hard to tell from the picture. Do those scrapes show at normal viewing angles? If not, I would likely live with them if I were in your shoes; ground scrapes are an unfortunate fact of life for most of us with cars with low noses.